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&: Automated natural deduction

1992
In this paper we describe a sequent calculus-based theorem prover called −5. The underlying logic of & is that of Zermelo set theory. In addition to the usual rules of first-order sequent based systems, the logic contains inference rules to handle set abstraction terms, including the ability to unify formulae involving such terms, and the ability to ...
Dave Barker-Plummer   +2 more
openaire   +1 more source

Automated Natural Deduction in Thinker

Studia Logica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Lambek Calculus in Natural Deduction

Journal of Logic and Computation, 2007
A formulation of Lambek calculus in natural deduction is given. New rules for Lambek's multiplicative, non-commutative conjunction are proposed, rules for Lambek's two implications are standard. Rules for Lambek's conjunction are variants of general elimination rules: a symmetric elimination rule and its specializations, left elimination rule and right
openaire   +1 more source

Another variant of natural deduction

Journal of Symbolic Logic, 1956
Since 1934 various different techniques for natural deduction have been developed by Gentzen, Jaśkowski, Rosser, Quine, and others (see [1], pp. 147–167; [2], especially footnotes 1, 3, and 4; and [3], pp. 75-83, 96-107, and 289-294). It has been pointed out to me by Professor Donald Kalish of U.C.L.A.
openaire   +2 more sources

Natural Deduction

1997
Abstract Axiomatic proofs are hard to construct, and often very lengthy. So in practice one does not actually construct such proofs; rather, one proves that there is a proof, as originally defined. One way in which we make use of this technique is when we allow ourselves to use, in a proof, any theorem that has been proved already.
openaire   +1 more source

From 2-Sequents and Linear Nested Sequents to Natural Deduction for Normal Modal Logics

ACM Transactions on Computational Logic, 2021
Simone Martini   +2 more
exaly  

Is Natural Deduction Natural?

Aristotelian Society Supplementary Volume, 1969
P. H. Nidditch, Bede Rundle
openaire   +1 more source

Natural Deduction for Dual-intuitionistic Logic

Studia Logica, 2012
Luca Tranchini, Tranchini Luca
exaly  

Natural deduction systems for Nelson's paraconsistent logic and its neighbors

Journal of Applied Non-Classical Logics, 2005
Norihiro Kamide
exaly  

Label-free natural deduction systems for intuitionistic and classical modal logics

Journal of Applied Non-Classical Logics, 2010
Yakoub Salhi
exaly  

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